I have always ran a 4K monitor and never hit this issue. My 15" (2018) and 16" MacBook Pro run silent when connected to the 4K monitor as it uses 2x scaling by default (so 4K "looks like" 1080p).
However if I connect a 1440p display after half an hour or so the fans kick in.
I don't own a 1440p display anymore to test this solution unfortunately.